2011
DOI: 10.1121/1.3664103
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Detection and location of cracks using loss of reciprocity in ultrasonic waves propagation

Abstract: The reciprocity theorem is a general statement valid for elastic media, and it has been applied to the solution of elastic wave equations, transducers calibration, time reversal acoustics, etc. However, localized nonlinear scatterers are expected to break reciprocity even though the effect is, in several cases, negligible. Here the dependence of the reciprocity break on the presence of a localized damage and the influence of its relative position has been experimentally investigated. It will be shown that the … Show more

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Cited by 12 publications
(6 citation statements)
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“…Consolidated granular media, both natural (rocks) or man-made (building materials, e.g., concrete, and ceramics produced by sintering), exhibit a complicated, nonlinear elastic behavior. The observed phenomenology includes hysteresis in the stress-strain constitutive equation, [1][2][3] excitation amplitude-dependent resonance frequencies, [4][5][6] the generation of harmonics, 7 the loss of validity of the superposition 8,9 and reciprocity 10 principles, and conditioning/relaxation phenomena. [11][12][13][14] Nonlinear elasticity parameters measured in various types of experiments are very sensitive to changes in the microstructure, including changes due to damage processes, e.g., cracking.…”
Section: Introductionmentioning
confidence: 99%
“…Consolidated granular media, both natural (rocks) or man-made (building materials, e.g., concrete, and ceramics produced by sintering), exhibit a complicated, nonlinear elastic behavior. The observed phenomenology includes hysteresis in the stress-strain constitutive equation, [1][2][3] excitation amplitude-dependent resonance frequencies, [4][5][6] the generation of harmonics, 7 the loss of validity of the superposition 8,9 and reciprocity 10 principles, and conditioning/relaxation phenomena. [11][12][13][14] Nonlinear elasticity parameters measured in various types of experiments are very sensitive to changes in the microstructure, including changes due to damage processes, e.g., cracking.…”
Section: Introductionmentioning
confidence: 99%
“…These features are exploited by the scaling subtraction method (SSM) 19,20 and nonlinear loss of reciprocity (NLR) based methods. 21 The goal of this paper is first to show the existence of strain amplitude thresholds for nonlinearity detection. Section II describes the way these thresholds depend on the adopted method for the data analysis.…”
Section: Introductionmentioning
confidence: 99%
“…23,26,27 On the other side, slow dynamics is usually understood as the dependence of an observable quantity on time at a constant amplitude of excitation. Typical features are: Conditioning, which results in a transition of the system in time to a new elastic state, which is the equilibrium state for the given amplitude of excitation; 5,28,29 relaxation, which is the slow recovery in time of the original elastic state when the excitation is removed.…”
Section: Introductionmentioning
confidence: 99%